12102110020000 has 960 divisors, whose sum is σ = 40166123526144. Its totient is φ = 3465285120000.

The previous prime is 12102110019959. The next prime is 12102110020001. The reversal of 12102110020000 is 2001120121.

It is a super-2 number, since 2×12102110020000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12102110020001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4544538669 + ... + 4544541331.

Almost surely, 2^{12102110020000} is an apocalyptic number.

12102110020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102110020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20083061763072).

12102110020000 is an abundant number, since it is smaller than the sum of its proper divisors (28064013506144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12102110020000 is a wasteful number, since it uses less digits than its factorization.

12102110020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12102110020000 its reverse (2001120121), we get a palindrome (12104111140121).

The spelling of 12102110020000 in words is "twelve trillion, one hundred two billion, one hundred ten million, twenty thousand".